I am a new Mathematica user. Performing some integration, I get a number of terms that involve the dilogarithm function. However, Mathematica does not seem to recognize functional equation relationships that would simplify things considerable. A simple example of a term that is not simplified would be
In this case, neither FullSimplify or FunctionExpand will give the simpler result in terms of logarithms (they return the form as above).
However, suppose that I had the equivalent statement
PolyLog[2,E^d/(1+E^d)]+ PolyLog[2,1 - E^d/(1+E^d)]
In this case, FunctionExpand now gives the expected result in terms of logarithms. That is
whereas FullSimplify does not. Is this expected behavior? Is there a way to make Mathematica recognize the functional relationships without rewriting things?